We provide an alternative proof for a known result stating that ( k ) queries are needed to test k -sparse linear Boolean functions. Similar to the approach of Blais and Kane (2012), we reduce the proof to the analysis of Hamming weights of vectors in affine subspaces of the Boolean hypercube. However, we derive our proof from a general result by Linial and Samorodnitsky (2002) that upper bounds the number of vectors with the same Hamming weight in every large affine subspace of the Boolean hypercube. Our line of argument is reminiscent of a technique that is common in communication complexity, and it allows us to derive the lower bound from Linial and Samorodnitsky's result quite easily.